The sales of a new high-tech item (in thousands) are given by -0.3t S(t) = 92-80 e where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero? a. The rate of change after 1 year is (Round to three decimal places as needed.) thousand items per year. h The rate of change after 5 years is (Round to three decimal places as needed.) thousand items per year. c. What is happening to the rate of change of sales as time goes on? A. It always decreases. O B. It always increases. C. First it increases, then it decreases. O D. First it decreases, then it increases. d. Does the rate of change of sales ever equal zero? No Yes

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The sales of a new high-tech item (in thousands) are given by
-0.3t
S(t) = 92-80 e
where t represents time in years. Find the rate of change of sales at each time.
a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero?
a. The rate of change after 1 year is
(Round to three decimal places as needed.)
thousand items per year.
h The rate of change after 5 years is
(Round to three decimal places as needed.)
thousand items per year.
c. What is happening to the rate of change of sales as time goes on?
A. It always decreases.
O B. It always increases.
C. First it increases, then it decreases.
O D. First it decreases, then it increases.
d. Does the rate of change of sales ever equal zero?
No
Yes
Transcribed Image Text:The sales of a new high-tech item (in thousands) are given by -0.3t S(t) = 92-80 e where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales ever equal zero? a. The rate of change after 1 year is (Round to three decimal places as needed.) thousand items per year. h The rate of change after 5 years is (Round to three decimal places as needed.) thousand items per year. c. What is happening to the rate of change of sales as time goes on? A. It always decreases. O B. It always increases. C. First it increases, then it decreases. O D. First it decreases, then it increases. d. Does the rate of change of sales ever equal zero? No Yes
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